Pertanyaan

Nilai dari sin 24 0 ∘ − sin 15 0 ∘ cos 30 0 ∘ − cos 15 0 ∘ = …

Nilai dari $\frac{cos 30 0 ^{\circ} - cos 15 0 ^{\circ}}{sin 24 0 ^{\circ} - sin 15 0 ^{\circ}} = \dots$

S. Nur

Master Teacher

Jawaban terverifikasi

Pembahasan

$fraction numerator cos space 300 degree space minus cos space 150 degree space over denominator sin space 240 degree space minus sin space 150 degree space end fraction space equals fraction numerator begin display style space cos space open parentheses 360 degree minus 60 degree close parentheses space minus open parentheses negative cos space open parentheses 180 degree minus 30 degree space close parentheses close parentheses end style over denominator left parenthesis negative sin space 180 degree plus 60 degree space right parenthesis minus sin space left parenthesis 180 degree minus 30 degree space right parenthesis end fraction equals fraction numerator begin display style cos space 60 degree space plus cos space 30 degree space end style over denominator negative sin space 60 degree space minus sin space 30 degree space end fraction equals space fraction numerator begin display style fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction plus fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction square root of 3 end style over denominator begin display style negative fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction square root of 3 minus fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction end style end fraction cross times open parentheses fraction numerator begin display style 2 end style over denominator begin display style 2 end style end fraction close parentheses space equals fraction numerator begin display style 1 plus square root of 3 end style over denominator begin display style negative square root of 3 minus 1 end style end fraction cross times fraction numerator begin display style negative square root of 3 plus 1 end style over denominator begin display style negative square root of 3 plus 1 end style end fraction equals fraction numerator begin display style negative square root of 3 plus 1 minus 3 plus square root of 3 end style over denominator begin display style 3 minus 1 end style end fraction equals negative fraction numerator begin display style 2 end style over denominator begin display style 2 end style end fraction equals space minus 1$